Let A, A2, and A3 be events defined on some specific sample space S. Find expressions involving

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Let A\, A2, and A3 be events defined on some specific sample space S. Find expressions involving only union, intersection, and complementation for the probability that:

(a) exactly two of Ai, A2, A3 occur simultaneously

(b) at least two of Ax, A2, A3 occur simultaneously

(c) at most two of the events Ai, A2, A3 occur simultaneously.

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